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Finding the Fourth Proportional to 700.68, 966.95 and 405.96

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Solution

The fourth proportional to 700.68, 966.95 and 405.96 is: 560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.68 : 966.95 = 405.96 : x
  2. Step 2: Convert to fraction form
    700.68/966.95 = 405.96/x
  3. Step 3: Cross multiply
    700.68x = 966.95 × 405.96
  4. Step 4: Simplify right side
    700.68x = 392,543.02
  5. Step 5: Solve for x
    x = 392,543.02/700.68
  6. Step 6: Final answer
    x = 560.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.